1 Answer

Tholu · Answer 1 · 2023-09-08T03:07:22+0000

Question: Solve the equation:

$\ln (7x-4)=\text{ ln(2x+11)}$

Solution:

applying the laws of logarithms (applying the inverse function of the logarithm function) we get:

$e^(\ln (7x-4))=e^{\text{ ln(2x+11)}}$

this is equivalent to:

$7x-4=\text{ 2x+11}$

putting similar terms together we get:

this is equivalent to:

$5x\text{ = 15}$

solving for x, we get:

$x\text{ = }(15)/(5)\text{ = 3}$

then, we can conclude that the solution of the equation is:

$x\text{ = 3}$

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